Literatur
F. Grunewald – Ausgewählte Arbeiten
Grunewald, F., Zimmert, R.: Über einige rationale elliptische Kurven mit freiem Rang ≥8. J. Reine Angew. Math. 296, 100–107 (1977). MR0466147 (57: 6028)
Grunewald, F., Segal, D.: Conjugacy in polycyclic groups. Commun. Algebra 6(8), 775–798 (1978). MR0491984 (58: 11151)
Grunewald, F., Segal, D.: On some groups which cannot be finitely presented. J. Lond. Math. Soc. (2) 17(3), 427–436 (1978). MR0500627 (80d:20033)
Grunewald, F., Helling, H., Mennicke, J.: SL2 over complex quadratic number fields. I. Algebra Log. 17(5), 512–580, 622 (1978). MR0555260 (81e:10021)
Grunewald, F., Havas, G., Mennicke, J.L., Newman, M.F.: Groups of exponent eight. Bull. Aust. Math. Soc 20(1), 7–16 (1979). MR0544364 (80g:20044)
Grunewald, F., Pickel, P.F., Segal, D.: Finiteness theorems for polycyclic groups. Bull. Am. Math. Soc. 1(3), 575–578 (1979). MR0526969 (80k:20026)
Grunewald, F., Segal, D.: Remarks on injective specializations. J. Algebra 61(2), 538–547 (1979). MR0559854 (81a:20058)
Grunewald, F., Segal, D.: The solubility of certain decision problems in arithmetic and algebra. Bull. Am. Math. Soc. 1(6), 915–918 (1979). MR0546317 (81b:10014)
Grunewald, F., Segal, D.: On congruence topologies in number fields. J. Reine Angew. Math. 311/312, 389–396 (1979). MR0549980 (81e:12017)
Grunewald, F., Mennicke, J.: \(\mathrm{SL}_{2}(\mathcal{O})\) and elliptic curves. Unpublished manuscript, Bielefeld (1979)
Grunewald, F., Mennicke, J.: Solution of the conjugacy problem in certain arithmetic groups. In: Word problems, II, Conf. on Decision Problems in Algebra, Oxford, 1976. Stud. Logic Foundations Math., Bd. 95, S. 101–139. North-Holland, Amsterdam/New York (1980). MR0579942 (81h:20054)
Grunewald, F., Pickel, P.F., Segal, D.: Polycyclic groups with isomorphic finite quotients. Ann. Math. (2) 111(1), 155–195 (1980). MR0558400 (81i:20045)
Grunewald, F., Havas, G., Mennicke, J.L., Newman, M.F.: Groups of exponent eight. In: Burnside groups, Proc. Workshop, Univ. Bielefeld, Bielefeld, 1977. Lecture Notes in Math., Bd. 806, S. 49–188. Springer, Berlin (1980). MR0586045 (82d:20039a)
Grunewald, F., Segal, D.: Some general algorithms. I. Arithmetic groups. Ann. Math. (2) 112(3), 531–583 (1980). MR0595206 (82d:20048a)
Grunewald, F., Segal, D.: Some general algorithms. II. Nilpotent groups. Ann. Math. (2) 112(3), 585–617 (1980). MR0595207 (82d:20048b)
Grunewald, F., Mennicke, J.L.: Some 3-manifolds arising from PSL2(ℤ[i]). Arch. Math. (Basel) 35(3), 275–291 (1980). MR0583599 (82f:57009)
Grunewald, F., Schwermer, J.: Free nonabelian quotients of SL2 over orders of imaginary quadratic numberfields. J. Algebra 69(2), 298–304 (1981). MR0617080 (82i:10027)
Grunewald, F., Segal, D.: How to solve a quadratic equation in integers. Math. Proc. Camb. Philos. Soc. 89(1), 1–5 (1981). MR0591965 (82j:10029)
Grunewald, F., Schwermer, J.: Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements. Duke Math. J. 48(2), 351–358 (1981). MR0620254 (82j:10046)
Grunewald, F., Schwermer, J.: A nonvanishing theorem for the cuspidal cohomology of SL2 over imaginary quadratic integers. Math. Ann. 258(2), 183–200 (1981/1982). MR0641824 (83c:10032)
Grunewald, F., Segal, D.: Résolution effective de quelques problèmes diophantiens sur les groupes algébriques linéaires. C. R. Acad. Sci. Paris Sér. I Math. 295(8), 479–481 (1982). (French) [Effective solvability of certain Diophantine problems related to linear algebraic groups]. MR0684084 (84a:20044).
Grunewald, F., Segal, D.: Conjugacy of subgroups in arithmetic groups. Proc. Lond. Math. Soc. (3) 44(1), 47–70 (1982). MR0642792 (84c:20052)
Elstrodt, J., Grunewald, F., Mennicke, J.: PSL(2) over imaginary quadratic integers. In: Arithmetic Conference, Metz, 1981. Astérisque, Bd. 94, S. 43–60. Soc. Math. France, Paris (1982). MR0702365 (84g:10051)
Elstrodt, J., Grunewald, F., Mennicke, J.: On the group PSL2(ℤ[i]). In: Number theory days, 1980, Exeter, 1980. London Math. Soc. Lecture Note Ser., Bd. 56, S. 255–283. Cambridge Univ. Press, Cambridge/New York (1982). MR0697270 (84j:10024)
Elstrodt, J., Grunewald, F., Mennicke, J.: Discontinuous groups in three-dimensional hyperbolic space: analytic theory and arithmetic applications. Usp. Mat. Nauk 38(1), 119–147 (1983). (Russian) Translated from the English by A.N. Parshin. MR0693720 (85g:11045).
Grunewald, F., Segal, D.: Reflections on the classification of torsion-free nilpotent groups. In: Group Theory, S. 121–158. Academic Press, London (1984). MR0780569 (86h:20048)
Elstrodt, J., Grunewald, F., Mennicke, J.: Eisenstein series on three-dimensional hyperbolic space and imaginary quadratic number fields. J. Reine Angew. Math. 360, 160–213 (1985). MR0799662 (87c:11052)
Grunewald, F., Segal, D.: Decision problems concerning S-arithmetic groups. J. Symb. Logic 50(3), 743–772 (1985). MR0805682 (87a:22023)
Elstrodt, J., Grunewald, F., Mennicke, J.: The Selberg zeta-function for cocompact discrete subgroups of PSL(2,ℂ). In: Elementary and analytic theory of numbers, Warsaw, 1982. Banach Center Publ., Bd. 17, S. 83–120. PWN, Warsaw (1985). MR0840474 (87h:11044)
Elstrodt, J., Grunewald, F., Mennicke, J.: Eisenstein series for imaginary quadratic number fields. In: The Selberg trace formula and related topics, Brunswick, Maine, 1984. Contemp. Math., Bd. 53, S. 97–117. Amer. Math. Soc., Providence (1986). MR0853554 (88a:11050)
Elstrodt, J., Grunewald, F., Mennicke, J.: Zeta-functions of binary Hermitian forms and special values of Eisenstein series on three-dimensional hyperbolic space. Math. Ann. 277(4), 655–708 (1987). MR0901712 (88m:11021)
Elstrodt, J., Grunewald, F., Mennicke, J.: Vahlen’s group of Clifford matrices and spin-groups. Math. Z. 196(3), 369–390 (1987). MR0913663 (89b:11031)
Elstrodt, J., Grunewald, F., Mennicke, J.: Séries de Poincaré sommes de Kloosterman et valeurs propres du laplacien pour les groupes de congruence agissant sur un espace hyperbolique. C. R. Acad. Sci. Paris Sér. I Math. 305(1–3), 577–581 (1987). [Poincare series, Kloosterman sums and eigenvalues of the Laplacian for congruence groups acting on hyperbolic spaces]. MR0917572 (89c:11086)
Grunewald, F., Segal, D., Smith, G.C.: Subgroups of finite index in nilpotent groups. Invent. Math. 93(1), 185–223 (1988). MR0943928 (89m:11084)
Elstrodt, J., Grunewald, F., Mennicke, J.: Arithmetic applications of the hyperbolic lattice point theorem. Proc. Lond. Math. Soc. (3) 57(2), 239–283 (1988). MR0950591 (89g:11033)
Grunewald, F., Margulis, G.: Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. J. Geom. Phys. 5(4), 493–531 (1988). (1989). MR1075720 (91i:22016)
Elstrodt, J., Grunewald, F., Mennicke, J.: Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces. Invent. Math. 101(3), 641–685 (1990). MR1062799 (91j:11038)
Grunewald, F., Schwermer, J.: Subgroups of Bianchi groups and arithmetic quotients of hyperbolic 3-space. Trans. Am. Math. Soc. 335(1), 47–78 (1993). MR1020042 (93c:11024)
Blasius, D., Franke, J.: Grunewald, F., Cohomology of S-arithmetic subgroups in the number field case. Invent. Math. 116(1–3), 75–93 (1994). MR1253189 (96h:11047)
Grunewald, F., Mennicke, J., Vaserstein, L.: On the groups SL2(ℤ[x]) and SL2(k[x,y]). Isr. J. Math. 86(13), 157–193 (1994). MR1276133 (95h:20061)
Grunewald, F., Segal, D.: On affine crystallographic groups. J. Differ. Geom. 40(3), 563–594 (1994). MR1305981 (95j:57044)
Grunewald, F., Hirsch, U.: Link complements arising from arithmetic group actions. Int. J. Math. 6(3), 337–370 (1995). MR1327153 (96a:57033)
Burde, D.: Grunewald, F., Modules for certain Lie algebras of maximal class. J. Pure Appl. Algebra 99(3), 239–254 (1995). MR1332900 (96d:17007)
Grunewald, F., Huntebrinker, W.: A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp. Exp. Math. 5(1), 57–80 (1996). MR1412955 (98f:11052a)
Grunewald, F., Platonov, V.: On finite extensions of arithmetic groups. C. R. Acad. Sci. Paris Sér. I Math. 325(11), 1153–1158 (1997). MR1490116 (99a:20045)
Elstrodt, J., Grunewald, F., Mennicke, J.: Groups acting on hyperbolic space. Harmonic analysis and number theory. Springer Monographs in Mathematics. Springer, Berlin (1998). xvi+524 pp. ISBN: 3-540-62745-6 MR1483315 (98g:11058)
Grunewald, F., du Sautoy, M.: Zeta functions of classical groups and their friendly ghosts. C. R. Acad. Sci. Paris Sér. I Math. 327(1), 1–6 (1998). MR1650255 (2000b:11109)
Grunewald, F., Platonov, V.: Rigidity and automorphism groups of solvable arithmetic groups. C. R. Acad. Sci. Paris Sér. I Math. 327(5), 427–432 (1998). MR1652546 (99i:20065)
Grunewald, F., Platonov, V.: Solvable arithmetic groups and arithmeticity problems. Int. J. Math. 10(3), 327–366 (1999). MR1688145 (2000d:20066)
Grunewald, F., du Sautoy, M.: Analytic properties of Euler products of Igusa-type zeta functions and subgroup growth of nilpotent groups. C. R. Acad. Sci. Paris Sér. I Math. 329(5), 351–356 (1999). MR1710072 (2000g:11110)
Grunewald, F., Platonov, V.: Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems. Duke Math. J 100(2), 321–358 (1999). MR1722957 (2000j:11079)
Grunewald, F., du Sautoy, M.: Analytic properties of zeta functions and subgroup growth. Ann. Math. (2) 152(3), 793–833 (2000). MR1815702 (2002h:11084)
Grunewald, F., du Sautoy, M.: Zeta functions of groups: zeros and friendly ghosts. Am. J. Math. 124(1), 1–48 (2002). MR1878998 (2003a:11119)
Bandman, T., Greuel, G.-M., Grunewald, F., Kunyavskii, B., Pfister, G., Plotkin, E.: Two-variable identities for finite solvable groups. C. R. Math. Acad. Sci. Paris 337(9), 581–586 (2003). MR2017730 (2004i:20029)
Grunewald, F., Segal, D.: On the integer solutions of quadratic equations. J. Reine Angew. Math. 569, 13–45 (2004). MR2055712 (2005d:11047)
Grunewald, F., Platonov, V.: New properties of lattices in Lie groups. C. R. Math. Acad. Sci. Paris 338(4), 271–276 (2004). MR2076494 (2005b:22015)
Bridson, M., Grunewald, F.: Grothendieck’s problems concerning profinite completions and representations of groups. Ann. Math. (2) 160(1), 359–373 (2004). MR2119723 (2005k:20069)
Bauer, I., Catanese, F., Grunewald, F.: Beauville surfaces without real structures. In: Geometric Methods in Algebra and Number Theory. Progr. Math., Bd. 235, S. 1–42. Birkhäuser, Boston (2005). MR2159375 (2006f:14040)
Bandman, T., Greuel, G.-M., Grunewald, F., Kunyavskii, B., Pfister, G., Plotkin, E.: Identities for finite solvable groups and equations in finite simple groups. Compos. Math. 142(3), 734–764 (2006). MR2231200 (2007d:20027)
Bauer, I., Catanese, F., Grunewald, F.: Chebycheff and Belyi polynomials, dessins d’enfants, Beauville surfaces and, group theory. Mediterr. J. Math. 3(2), 121–146 (2006). MR2241319 (2007c:14006)
Baues, O., Grunewald, F.: Automorphism groups of polycyclic-by-finite groups and arithmetic groups. Publ. Math. Inst. Hautes études Sci. 104, 213–268 (2006). MR2264837 (2008c:20070)
Grunewald, F., du Sautoy, M.: Zeta functions of groups and rings. In: International Congress of Mathematicians, Vol. II, S. 131–149. Eur. Math. Soc., Zürich (2006). MR2275592 (2008d:11102)
Bauer, I., Catanese, F., Grunewald, F.: The classification of surfaces with p g =q=0 isogenous to a product of curves. Pure Appl. Math. Q. 4(2), 547–586 (2008). MR2400886 (2009a:14046)
Grunewald, F., Jaikin-Zapirain, A., Zalesskii, P.A.: Cohomological goodness and the profinite completion of Bianchi groups. Duke Math. J. 144(1), 53–72 (2008). MR2429321 (2009e:20063)
Grunewald, F., Lubotzky, A.: Linear representations of the automorphism group of a free group. Geom. Funct. Anal. 18(5), 1564–1608 (2009). MR2481737 (2010i:20039)
Gordeev, N., Grunewald, F., Kunyavski, B., Plotkin, E.: Baer-Suzuki theorem for the solvable radical of a finite group. C. R. Math. Acad. Sci. Paris 347(5–6), 217–222 (2009). MR2537525 (2010g:20028)
Finis, T., Grunewald, F., Tirao, P.: The cohomology of lattices in \(\mathrm{SL}(2,\mathbb{C)}\). Exp. Math. 19(1), 29–63 (2010). MR2649984
Gordeev, N., Grunewald, F., Kunyavski, B., Plotkin, E.: From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical. J. Algebra 323(10), 2888–2904 (2010). MR2609180
Bauer, I., Catanese, F., Grunewald, F.: The Absolute Galois group acts faithfully on the connected components of the moduli space of surfaces of general type. arXiv:0706.1466
Bandman, T., Grunewald, F., Jones, N., Kunyavskii, B.: Geometry and arithmetic of verbal dynamical systems on simple groups. Groups Geom. Dyn. 4, 607-655 (2010). doi:10.4171/GGD/98
Bauer, I., Catanese, F., Grunewald, F., Pignatelli, R.: Quotients of a product of curves by a finite group and their fundamental groups. arXiv:0809.3420
Grunewald, F., Jaikin-Zapirain, A., Pinto, A.G.S., Zalesskii, P.A.: Normal subgroups of profinite groups of non-negative deficiency. arXiv:0810.2027
Grunewald, F., Zalesskii, P.A.: Genus for groups. J. Algebra. doi:10.1016/j.jalgebra.2010.05.018
Gordeev, N., Grunewald, F., Kunyavski, B., Plotkin, E.: New trends in characterization of solvable groups. Preprint, MPIM 2010-35
Andere Literatur
Benoist, Y.: Une nilvariété non affine. J. Differ. Geom. 41, 21–52 (1995)
Bray, J.N., Wilson, J.S., Wilson, R.A.: A characterization of finite soluble groups by laws in two variables. Bull. Lond. Math. Soc. 37, 179–186 (2005)
Berger, T., Harcos, G.: ℓ-adic representations associated to modular forms over imaginary quadratic fields. Int. Math. Res. Notices 23 (2007)
Bridson, M., Howie, J., Miller, C.F. III, Short, H.: Subgroups of direct products of limit groups. Ann. Math. (2) 170, 1447–1467 (2009)
Catanese, F.: Q.E.D. for algebraic varieties. With an appendix by Sönke Rollenske. J. Differ. Geom. 77, 43–75 (2007)
Cremona, J.: Hyperbolic tesselations, modular symbols, and elliptic curves over complex quadratic fields. Compos. Math. 51, 275–324 (1984)
Dieulefait, L., Guerberoff, L., Pacetti, A.: Proving modularity for a given elliptic curve over an imaginary quadratic field. Math. Comp. 79, 1145–1170 (2010)
Guralnick, R., Malle, G.: Simple groups admit Beauville structures. arXiv:1009.6183
Harris, M., Soudry, D., Taylor, R.: ℓ-adic representations associated to modular forms over imaginary quadratic fields I. Lifting to GSp 4(ℚ). Invent. Math. 112, 377–411 (1993)
Kunyavskii, B., Plotkin, E., Shklyar, R.: A strategy for human-computer study of equations and identities in finite groups. Proc. Latv. Acad. Sci., Sect. B 57, 97–101 (2003)
Looijenga, E.: Prym representations of mapping class groups. Geom. Dedic. 64, 69–83 (1997)
Segal, D.: Decidable properties of polycyclic groups. Proc. Lond. Math. Soc. (3) 61, 497–528 (1990)
Taylor, R.: ℓ-adic representations associated to modular forms over imaginary quadratic fields II. Invent. Math. 116, 407–429 (1994)
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Das englische Original wird im Bulletin of the London Mathematical Society erscheinen.
Aus dem Englischen übersetzt von Gabriele Nebe.
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Segal, D. Fritz Grunewald, 1949–2010. Jahresber. Dtsch. Math. Ver. 113, 3–20 (2011). https://doi.org/10.1365/s13291-010-0010-7
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DOI: https://doi.org/10.1365/s13291-010-0010-7